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112683454464 = 212372316037
BaseRepresentation
bin110100011110001110…
…1010001000000000000
3101202212002210120212110
41220330131101000000
53321233431020324
6123433245255320
711066254362600
oct1507435210000
9352762716773
10112683454464
1143874966179
1219a09564540
13a81a43c699
14564d74ac00
152de79b0329
hex1a3c751000

112683454464 has 312 divisors, whose sum is σ = 360840154368. Its totient is φ = 31151554560.

The previous prime is 112683454399. The next prime is 112683454511. The reversal of 112683454464 is 464454386211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18662454 + ... + 18668490.

Almost surely, 2112683454464 is an apocalyptic number.

112683454464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112683454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180420077184).

112683454464 is an abundant number, since it is smaller than the sum of its proper divisors (248156699904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112683454464 is an equidigital number, since it uses as much as digits as its factorization.

112683454464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6080 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 112683454464 in words is "one hundred twelve billion, six hundred eighty-three million, four hundred fifty-four thousand, four hundred sixty-four".